The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  2  X  X  X  X  X  X  2  X  1  2  1  1  X  1  1  1  1  X  1  1  2  1  X  X  1  1  X  1  X  X
 0  2  0  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  2  2  0  2  0  0  0  2  2  2  0  2  2  2  0  2  2  2  2  2  2  2  2  2  0  0  2  2  2  2  0  2  0  2  2  2  2  0  2  2  0  2  2  0  0  0  0  0  2  2  0  2  2  2  0  2
 0  0  2  0  0  0  0  0  0  0  0  0  0  0  2  0  0  0  0  2  2  2  2  2  2  2  0  0  0  2  0  0  0  2  2  2  0  0  0  2  2  2  0  2  2  0  0  2  2  2  0  0  0  2  0  0  0  0  2  2  0  2  0  0  2  0  2  2  2  2  2  0  0  2  2  2  0  0  2  0  0  2  0  0  0  2  0  2  2  2
 0  0  0  2  0  0  0  0  0  0  0  0  0  2  0  0  0  2  2  2  2  2  2  0  0  0  0  2  0  2  2  2  0  2  0  0  2  2  0  0  0  2  2  2  0  2  0  2  2  0  2  0  0  2  2  0  2  2  2  0  0  2  2  0  0  0  0  0  0  2  2  2  0  2  2  0  0  2  2  2  0  2  0  0  2  0  0  2  0  0
 0  0  0  0  2  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  2  0  2  2  0  2  2  2  0  0  0  2  2  2  2  2  0  2  2  0  0  0  2  0  0  0  0  2  0  2  0  0  2  0  2  0  0  2  2  2  2  2  2  2  2  2  2  2  2  2  0  0  0  0  0  2  2  0  0  2  0  2  0  2  0  2  2  0  2  0
 0  0  0  0  0  2  0  0  0  0  0  0  2  0  0  2  2  0  2  2  0  2  0  2  0  2  2  2  2  0  0  2  2  0  0  0  2  0  2  0  0  0  0  2  2  0  2  2  2  0  2  0  0  0  0  2  0  2  2  0  0  0  2  0  2  2  2  2  2  0  2  0  0  2  2  0  0  0  2  2  0  0  2  0  0  2  0  2  0  2
 0  0  0  0  0  0  2  0  0  0  0  0  2  0  0  0  2  2  2  2  0  2  2  0  2  0  2  0  0  2  0  0  2  2  2  0  0  0  0  2  0  0  0  2  2  2  2  0  2  2  2  2  2  2  0  2  2  2  0  0  0  0  0  0  2  0  0  0  0  0  2  2  2  2  2  2  2  0  2  2  2  2  2  0  2  0  2  0  2  0
 0  0  0  0  0  0  0  2  0  0  0  2  0  0  0  0  2  2  0  2  0  0  0  2  2  2  0  0  2  0  2  2  2  2  0  0  0  2  2  2  2  2  0  0  0  0  2  2  2  2  0  0  2  2  0  0  2  0  0  2  2  0  0  2  0  2  0  0  2  2  2  0  0  0  2  0  2  2  2  2  0  2  0  0  2  2  0  0  0  0
 0  0  0  0  0  0  0  0  2  0  0  2  0  0  0  2  0  0  2  0  2  0  0  2  0  0  0  0  2  2  2  0  0  2  2  0  2  2  2  2  0  0  0  2  2  2  2  0  2  0  0  2  2  2  0  0  2  2  0  2  0  2  2  2  0  0  0  2  0  0  2  2  0  2  2  2  0  0  0  0  0  2  2  0  0  2  0  0  2  2
 0  0  0  0  0  0  0  0  0  2  0  2  2  2  2  2  0  0  0  2  0  0  2  2  0  0  2  0  2  2  0  0  2  2  0  2  2  0  0  0  0  2  0  0  0  2  0  2  2  0  2  2  0  0  2  0  0  2  0  0  2  2  2  0  2  0  2  0  2  0  2  0  2  2  0  0  0  2  0  2  2  0  0  0  0  2  2  2  2  0
 0  0  0  0  0  0  0  0  0  0  2  2  2  2  2  0  0  2  2  2  2  2  0  2  0  2  0  0  0  0  0  2  0  2  0  0  2  0  2  2  0  0  0  2  0  0  2  0  0  2  2  2  0  0  0  0  2  0  0  2  2  2  0  2  2  0  2  0  0  2  0  2  0  2  0  2  0  2  2  0  0  0  0  2  2  2  0  0  0  0

generates a code of length 90 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 76.

Homogenous weight enumerator: w(x)=1x^0+180x^76+14x^78+351x^80+84x^82+461x^84+486x^86+1610x^88+1912x^90+1614x^92+474x^94+425x^96+84x^98+234x^100+18x^102+145x^104+66x^108+27x^112+5x^116+1x^136

The gray image is a code over GF(2) with n=360, k=13 and d=152.
This code was found by Heurico 1.16 in 29.4 seconds.